The Fibonacci sequence is a sequence whose first two terms are f1 = 1 and f2 = 1, and all other terms are the sum of the two preceding terms. The terms of the Fibonacci sequence are often referred to as Fibonacci numbers.The sum of any 10 consecutive Fibonacci numbers is divisible by 11. Select 10 Fibonacci numbers, and verify this fact.

Question

What will be an ideal response?

Answer 1

Answers will vary. For 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765 the sum is 17,567, which is divisible by 11.